(Science) if x and y satisfy the constraint condition x ≥ 0 x + 2 y ≥ 32 x + y ≤ 3, then the minimum value of Z = X-Y is______ ．

(Science) if x and y satisfy the constraint condition x ≥ 0 x + 2 y ≥ 32 x + y ≤ 3, then the minimum value of Z = X-Y is______ ．

Let the variables X and y satisfy the constraint conditions x ≥ 0 x + 2 y ≥ 32 x + y ≤ 3, draw the feasible region triangle in the coordinate system, arrange z = X-Y to get y = x-z, and the minimum value of Z = X-Y is the maximum value of the longitudinal intercept of the line y = x-z. when the translation line X-Y = 0 passes through point a (0, 3), the minimum value of X-Y is - 3, then the minimum value of the objective function z = X-Y is - 3